Given e^x greater than or equal to 1 + x for all real values of x,and
that (1+1)(1+(1/2))(1+(1/3))...(1+(1/n)) = n+1, prove that e^(1+(1/2)+
(1/3)+...+(1/n)) is greater than n. Also, find a value of n for which
1=(1/2)+(1/3)+...+(1/n) is greater than 100.

Let n be a number written in base 10, which also has an interpretation in
factorial base. Let m be the value of its interpretation in factorial
base. What is the greatest n for which m is equal to or less than n?